Geometry basics points lines and planes8/30/2023 ![]() ![]() A typical result is the 1:3 ratio between the volume of a cone and a cylinder with the same height and base. It is proved that there are infinitely many prime numbers.īooks XI–XIII concern solid geometry. Notions such as prime numbers and rational and irrational numbers are introduced. Many results about plane figures are proved, for example, "In any triangle, two angles taken together in any manner are less than two right angles." (Book I proposition 17) and the Pythagorean theorem "In right-angled triangles the square on the side subtending the right angle is equal to the squares on the sides containing the right angle." (Book I, proposition 47)īooks V and VII–X deal with number theory, with numbers treated geometrically as lengths of line segments or areas of surface regions. Its improvement over earlier treatments was rapidly recognized, with the result that there was little interest in preserving the earlier ones, and they are now nearly all lost.īooks I–IV and VI discuss plane geometry. The Elements is mainly a systematization of earlier knowledge of geometry. This is in contrast to analytic geometry, introduced almost 2,000 years later by René Descartes, which uses coordinates to express geometric properties by means of algebraic formulas. Įuclidean geometry is an example of synthetic geometry, in that it proceeds logically from axioms describing basic properties of geometric objects such as points and lines, to propositions about those objects. An implication of Albert Einstein's theory of general relativity is that physical space itself is not Euclidean, and Euclidean space is a good approximation for it only over short distances (relative to the strength of the gravitational field). Today, however, many other self-consistent non-Euclidean geometries are known, the first ones having been discovered in the early 19th century. įor more than two thousand years, the adjective "Euclidean" was unnecessary becauseĮuclid's axioms seemed so intuitively obvious (with the possible exception of the parallel postulate) that theorems proved from them were deemed absolutely true, and thus no other sorts of geometry were possible. Much of the Elements states results of what are now called algebra and number theory, explained in geometrical language. It goes on to the solid geometry of three dimensions. The Elements begins with plane geometry, still taught in secondary school (high school) as the first axiomatic system and the first examples of mathematical proofs. ![]() Although many of Euclid's results had been stated earlier, Euclid was the first to organize these propositions into a logical system in which each result is proved from axioms and previously proved theorems. Euclid's approach consists in assuming a small set of intuitively appealing axioms (postulates) and deducing many other propositions ( theorems) from these. Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements. ![]()
0 Comments
Mad max beyond thunderdome soundtrack8/30/2023 ![]() The series has also had a significant influence on popular culture, most notably apocalyptic and post-apocalyptic fiction, and encompasses works in additional media, including video games and comic books. The series has been well received by critics, with each film marked "Certified Fresh" on the film review aggregation website Rotten Tomatoes Mad Max 2 and Fury Road in particular have been ranked among the best action films ever made. As Australia devolves further into barbarity, Max finds himself helping pockets of civilisation, initially for his own self-interest, but his motives always drift into more altruistic ones. When his wife and child are murdered by a vicious biker gang, Max kills them in revenge and becomes a drifting loner in the Wasteland. The series follows the adventures of Rockatansky, a police officer in a future Australia which is experiencing societal collapse due to war and critical resource shortages and ecocide. ![]() Mel Gibson portrayed the titular character Max Rockatansky in the first three films, while Tom Hardy portrayed the character in Mad Max: Fury Road. It began in 1979 with Mad Max, and was followed by three sequels: Mad Max 2 (1981, released in the United States as The Road Warrior), Mad Max Beyond Thunderdome (1985) and Mad Max: Fury Road (2015) Miller directed or co-directed all four films. Mad Max is an Australian post-apocalyptic dystopian action film series and media franchise created by George Miller and Byron Kennedy. ![]() Fake katana vs real katana8/30/2023 ![]() ![]() Or of course, just go to Japan with $4-10K and buy there - because according to the purists, that is the real katana price you will need to pay! (though money alone is not always enough, many traditional sellers need to get to know you personally to ensure the sword will be looked after and going to a good home! Yes, they take their swords THAT seriously!). Use SBG, visit sword forums, ask lots of questions, and get to know your brands. So when it comes to Japanese swords, especially high end ones, it pays to do your research. The worst I have seen is a brand (that will remain unnamed for now) that claims their swords are made in "Seki city Japan" - but we actually found them stored away on a visit to Longquan, China.! They are being sold for $900 but should sell for $200 at best - so beware, there are some real sharks out there! A trustworthy sword seller is honest about where the swords are made, how they are made, and who makes them.īad sellers, not so much. The only way to know if what you are seeing on the internet is a real katana price or not is the REPUTATION of the company offering it. But from the picture alone, even an expert might not know if they were real Nihonto or not. ![]() The set in the picture are worth - around US$50 for the lot. Talk to the Blacksmith in order to Upgrade. So back to our original question, how much is the Shirasaya set in the first picture worth? On the other hand, a katana with a fake hamon (the tempering pattern) and no tsuba (guard) is not even worth more than 50. This sword can be purchased for 12,000 from the Sword Dealer of the West, located at the Pirate Village in the First Sea. Some people think so because there is no doubt that more attention to detail is paid to this blade than the Chinese made one.īut for practical purposes, the differences are actually pretty minor. Whether or not it is 10 times better is a matter of Katana price for the Japanese made Nihonto is 10 times that of the Ryujin Katana. So I sat down and compared them side by side, and tried to isolate the. So I got to review the Catalyst, and many people wanted to know how it stacks up against the Katana. At first glance, I think we all looked at the Catalyst amp that Line 6 dropped last week as a competitor with the BOSS Katana. In the argument of real Katana vs fake, leaving out WHERE they are made and judging them purely on form and function - the reality is that both of these swords are fairly close. In the argument of real Katana vs fake, leaving out WHERE they are made and judging them purely on form and function - the reality is that both of these swords are fairly close. The Catalyst And Katana.Real Life Comparison. Keep in mind this also depends on the century the sword was crafted. The differences are pretty obvious if you know what to. So if you see a tachi and a katana the tachi is probably the longer one of the two. Here's a playlist In today's video we're comparing a 2000 Paul Chen Kami katana vs a 200 katana I bought on Amazon. Historical European Martial Arts (HEMA) The katana has a length of around 100-110 cm (39.4-43.3 in), whereas the tachi is 120-130 cm (47.2-51.2 in) long.Ultra Durable 'Beater' Katana under $400.Affordable Traditional Blades with 'Hamon'. ![]() Decked builder card cam reg key8/30/2023 ![]() Find missing cards to complete your collection or your deck Easily input your collection by any criteria you can think of * Track your collection (enabled via in-app purchase) Deck integration with allows you to download, analyze and test the latest winning decks directly on your device Featured RSS feeds from, , MTGCast,, Channel Fireball, Power 9 Pro,, StarCityGames Cards names are automatically be highlighted for instant (no network required) card lookups from the built-in database Decked Builder includes RSS feeds which are specially formatted for clean viewing and fast downloads. Easily buy your entire deck online, or just cards missing from your collection Price your entire deck with a single tap Finding the cheapest way to put your deck together from some of the largest card suppliers on the Internet Decked Builder contains multiple price feeds from, , and Sort and filter your deck by mana cost, color, card type, tournament legality and more Full text search for cards in your deck - perfect for building EDH 100 card singleton decks Get statistics on your deck including mana curves, color symbol counts and card type percentages Easily test sample draws from the deck, and simulate a game of Magic by playing cards to the battlefield. Build multiple deck listings and sideboards Full card text search - easily find every Landfall card, Elf, Vampire or any other attribute that has ever been printed. See only distinct cards, or find every printing of a card in every set Built in support for tournament formats including Standard, Modern, Extended, EDH and Classic Search for cards by any combination of card expansion, rarity, color, type or cost Instant search results with no Internet connection as the database is stored locally "I have to say that this app is certainly one that I would recommend to any MTG player"ĭecked Builder is the premium deck building app for Magic the Gathering - providing a sleek user interface to research decks, find cards, and then build, price and finally buy the deck that you want. Solitaire play has been upgraded and the card loading speed is marvelous. "The iPad version of Decked Builder is perfect. There’s almost nothing that I need, that this app can’t do for me." ![]() ![]() "Decked Builder is the absolute pinnacle of what a Magic the Gathering accessory app should be. It has a ton of very cool features, runs smoothly, and even has RSS feeds for several top MtG sites." I’m one of those people who will generally take the free alternative over the paid app any day, but I’m actually happy to have spent the money on this one. "This is the program I recommend for anyone willing to spend. A fully optimized all-in-one view for searching and building your deck that allows you to work more efficiently. New file format for Collections (.coll2) now supports foil cards Decked Builder HD is the iPad version of the highly acclaimed Decked Builder for the iPhone and Mac. ![]() AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |